Educational Production Functions
- 1 September 1978
- journal article
- Published by American Educational Research Association (AERA) in Journal of Educational Statistics
- Vol. 3 (3) , 209-231
- https://doi.org/10.3102/10769986003003209
Abstract
The robustness of the t statistic on complex contrasts, ψ, using MSW in the estimate of sψ is compared with that of t”, a statistic derived by Welch (1947). The t statistic is robust to violations of the homogeneity of variance assumption only if n's are equal and all weights have the same absolute value. The Welch t” is robust for all combinations explored with any set of weights and either equal or unequal n's. Since heterogeneous variances are often encountered in behavioral experiments, the Welch t” is recommended as the benchmark test for complex contrasts.Keywords
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